Question

The amplitude of the magnetic field part of an electromagnetic wave in vacuum is $\mathrm{Bm}=510 \mathrm{nT}$. Then the amplitude of the electric part of the wave is (A) $1.53 \times 10^{11} \mathrm{~V} / \mathrm{m}$ (B) $1.53 \mathrm{~V} / \mathrm{m}$ (C) $1.53 \times 10^{2} \mathrm{~V} / \mathrm{m}$ (D) $1.53 \times 10^{8} \mathrm{~V} / \mathrm{m}$

Name: Problem 2156, Chapter 15: JEE Physics
Uploaded: 2021-10-01T18:27:23-08:00
Duration: 1 min 1 s
Channel: Narayan Hari
Description: The amplitude of the magnetic field part of an electromagnetic wave in vacuum is Bm=510 nT. Then the amplitude of the electric part of the wave is (A) 1.53 ×10^11 V / m (B) 1.53 V / m (C) 1.53 ×10^2 V / m (D) 1.53 ×10^8 V / m

   The amplitude of the magnetic field part of an electromagnetic wave in vacuum is $\mathrm{Bm}=510 \mathrm{nT}$. Then the amplitude of the electric part of the wave is
(A) $1.53 \times 10^{11} \mathrm{~V} / \mathrm{m}$
(B) $1.53 \mathrm{~V} / \mathrm{m}$
(C) $1.53 \times 10^{2} \mathrm{~V} / \mathrm{m}$
(D) $1.53 \times 10^{8} \mathrm{~V} / \mathrm{m}$

JEE Physics

StemEZ 1st Edition

Chapter 15, Problem 2156

Instant Answer

Solved by Expert Narayan Hari

10/01/2021

Step 1

Mathematically, this can be represented as: \[c = \frac{Em}{Bm}\] Show more…

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The amplitude of the magnetic field part of an electromagnetic wave in vacuum is $\mathrm{Bm}=510 \mathrm{nT}$. Then the amplitude of the electric part of the wave is (A) $1.53 \times 10^{11} \mathrm{~V} / \mathrm{m}$ (B) $1.53 \mathrm{~V} / \mathrm{m}$ (C) $1.53 \times 10^{2} \mathrm{~V} / \mathrm{m}$ (D) $1.53 \times 10^{8} \mathrm{~V} / \mathrm{m}$

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Key Concepts

Electromagnetic Waves in Vacuum

Electromagnetic waves consist of oscillating electric and magnetic fields that propagate through space. In vacuum, these waves travel at the speed of light (approximately 3×10^8 m/s), and their behavior is governed by Maxwell's equations, which describe how changes in one field induce changes in the other.

Relationship between Electric and Magnetic Field Amplitudes

In an electromagnetic wave traveling through a vacuum, the magnitudes of the electric and magnetic fields are directly related by the speed of light. Specifically, the amplitude of the electric field (E) is equal to the product of the speed of light (c) and the amplitude of the magnetic field (B), as expressed by the relation E = cB. This relation is a fundamental aspect of how electromagnetic energy propagates.

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